22208400 has 180 divisors, whose sum is σ = 79955200. Its totient is φ = 5702400.

The previous prime is 22208357. The next prime is 22208411. The reversal of 22208400 is 480222.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111501 + ... + 111699.

Almost surely, 2^22208400 is an apocalyptic number.

22208400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22208400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39977600).

22208400 is an abundant number, since it is smaller than the sum of its proper divisors (57746800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22208400 is a wasteful number, since it uses less digits than its factorization.

22208400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 22208400 is about 4712.5789118061. The cubic root of 22208400 is about 281.0859191088.

Adding to 22208400 its reverse (480222), we get a palindrome (22688622).

The spelling of 22208400 in words is "twenty-two million, two hundred eight thousand, four hundred".